Formalize the McKay conjecture statement - #32
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What changed
mckay-conjectureLean 4 package.9cebae57f419f984d008f357605b2621a1d9f13band Leanv4.33.0-rc1, the current mathlib head at project creation.FDRep ℂ Gwitness.p'-degree subtype, the Sylow normalizerN_G(P), andMcKayConjecture.Statementas the corresponding cardinal equality.Why
This establishes a precise, reproducible, axiom-free formal target for the full McKay theorem before proof engineering begins.
Cardinal.mkis used instead ofNat.card, avoiding the latter's silent value0on infinite types while finiteness of the new character wrapper has not yet been formalized.Statement audit
Two independent adversarial reviewer agents compiled and inspected the statement. Both returned
FAITHFUL, specifically checking character-versus-representation counting, uniqueness of degree,p'-degree divisibility inℕ, the Sylow and normalizer encodings, prime/finite-group assumptions, and universe behavior.Validation
lake build— succeeds (2,329 jobs)sorry,axiom,admit, or heartbeat override in the new packagegit diff --check— clean